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Full-Text Articles in Physical Sciences and Mathematics
Approximation Of Fuzzy Functions By Distance Method, S. Abbasbandy, M. Amirfakhrian
Approximation Of Fuzzy Functions By Distance Method, S. Abbasbandy, M. Amirfakhrian
Saeid Abbasbandy
Approximation of functions in a given space is an old problem in applied mathematics. In this paper the problem is considered for fuzzy data and fuzzy functions using the defuzzification function introduced by Fortemps and Roubens. We introduce a fuzzy polynomial approximation as D-approximation of a fuzzy function on a discrete set of points and we present a method to compute it.
Ranking Of Fuzzy Numbers By Min Distance, S. Abbasbandy, M. Otadi, M. Mosleh
Ranking Of Fuzzy Numbers By Min Distance, S. Abbasbandy, M. Otadi, M. Mosleh
Saeid Abbasbandy
Several different strategies have been proposed for ranking of fuzzy numbers. These include methods based on the coefficient of variation (CV index), distance between fuzzy sets, centroid point and original point, and weighted mean value. Each of these techniques has been shown to produce non-intuitive results in certain cases. In this paper we propose a ranking method for fuzzy numbers by min distance. The method for ranking fuzzy numbers suggested in this paper is based on comparison of distance from fuzzy numbers to fuzzy minimum where fuzzy minimum is a reference set and this method able to overcome the shortcomings …
Crisp Solution Of A General Fuzzy Linear System, S. Abbasbandy, R. Ezzati
Crisp Solution Of A General Fuzzy Linear System, S. Abbasbandy, R. Ezzati
Saeid Abbasbandy
In this paper a method for solving a general fuzzy linear system with crisp solution is considered. We consider the method in special case when the elements of the coefficient matrix and the right hand side are trapezoidal fuzzy numbers. The method in detail is discussed and followed by theorem and illustrated by solving some examples.